Magma V2.19-8 Tue Aug 20 2013 23:54:20 on localhost [Seed = 2463430964] Type ? for help. Type -D to quit. Loading file "L13n8548__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8548 geometric_solution 11.20294161 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 3 -2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 -2 1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715388677014 0.907866608100 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -5 -1 0 6 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464530530485 0.679539482032 5 0 5 6 0132 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314409348484 1.002917753826 7 8 9 0 0132 0132 0132 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -5 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885562179230 0.775951101801 10 6 1 11 0132 1023 0132 0132 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186018434949 1.261306870252 2 2 9 1 0132 1230 3120 0132 1 1 0 1 0 0 0 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464530530485 0.679539482032 4 11 2 9 1023 0132 0132 0321 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.284611322986 0.907866608100 3 10 10 8 0132 1230 0132 3120 1 1 2 1 0 1 0 -1 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 1 0 5 -6 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552216064295 0.538249044135 7 3 11 9 3120 0132 0132 3120 1 1 2 1 0 0 0 0 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552216064295 0.538249044135 8 6 5 3 3120 0321 3120 0132 1 1 2 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519150658168 0.366896615879 4 11 7 7 0132 1023 3012 0132 1 1 1 2 0 -1 1 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 5 -5 -6 0 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071366722463 0.905145660014 10 6 4 8 1023 0132 0132 0132 1 1 1 2 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071366722463 0.905145660014 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2*c_1001_0 - 17/2, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_0 - 3/2, c_0011_3 - 1, c_0011_9 + 1/2*c_1001_0 - 3/2, c_0101_0 - 1, c_0101_1 + 1, c_0101_3 + 1/2*c_1001_0 - 3/2, c_0101_5 - c_1001_0 + 1, c_0101_8 - 1/2*c_1001_0 - 1/2, c_0101_9 - c_1001_0, c_1001_0^2 - 4*c_1001_0 - 1, c_1001_5 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 280/9*c_1001_0^3 - 304/9*c_1001_0^2 - 203/9*c_1001_0 + 7/18, c_0011_0 - 1, c_0011_10 - 4*c_1001_0^3 - 10*c_1001_0^2 - 15/2*c_1001_0 - 5/2, c_0011_3 - 1, c_0011_9 + 4*c_1001_0^3 + 2*c_1001_0^2 - 1/2*c_1001_0 - 3/2, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 - 4*c_1001_0^3 - 10*c_1001_0^2 - 15/2*c_1001_0 - 5/2, c_0101_5 + c_1001_0 + 1, c_0101_8 + 4*c_1001_0^3 + 6*c_1001_0^2 + 7/2*c_1001_0 + 1/2, c_0101_9 - c_1001_0, c_1001_0^4 + 3/2*c_1001_0^3 + 11/8*c_1001_0^2 + 1/2*c_1001_0 + 1/8, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB